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arXiv · 2502.15518

On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator

Juan Adrián Ramírez-Belman·José Oscar González-Cervantes·Juan Bory-Reyes
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Abstract

This paper introduce a fractal {\psi}-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel- Pompeiu formulas associated to this generalized fractal {\psi}-Fueter operator with respect to a vector valued function induced by truncated exponential functions.

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Juan Adrián Ramírez-Belman, José Oscar González-Cervantes, Juan Bory-Reyes. 2025-02-21. On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator. https://arxiv.org/abs/2502.15518

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